Relatively independent joinings and subsystems of W*-dynamical systems

被引：15
作者：
Duvenhage, Rocco [1 ]
机构：
[1] Univ Pretoria, Dept Phys, ZA-0002 Pretoria, South Africa
来源：
STUDIA MATHEMATICA | 2012年 / 209卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
W*-dynamical systems; relatively independent joinings; subsystems; TOPOLOGICAL DYNAMICS; MULTIPLE RECURRENCE; AUTOMORPHISMS; ALGEBRAS; EIGENVALUES; THEOREMS;
D O I：
10.4064/sm209-1-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Relatively independent joinings of W*-dynamical systems are constructed. This is intimately related to subsystems of W*-dynamical systems, and therefore we also study general properties of subsystems, in particular fixed point subsystems and compact subsystems. This allows us to obtain characterizations of weak mixing and relative ergodicity, as well as of certain compact subsystems, in terms of joinings.
引用
收藏
页码：21 / 41
页数：21
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